English

Infinite dimensional primitive linearly compact Lie superalgebras

Quantum Algebra 2014-01-17 v1

Abstract

We classify open maximal subalgebras of all infinite-dimensional linearly compact simple Lie superalgebras. This is applied to the classification of infinite-dimensional Lie superalgebras of vector fields, acting transitively and primitively in a formal neighborhood of a point of a finite-dimensional supermanifold.

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Cite

@article{arxiv.math/0511424,
  title  = {Infinite dimensional primitive linearly compact Lie superalgebras},
  author = {Nicoletta Cantarini and Victor Kac},
  journal= {arXiv preprint arXiv:math/0511424},
  year   = {2014}
}

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99 pages